10105316 has 24 divisors (see below), whose sum is σ = 19132344. Its totient is φ = 4642560.

The previous prime is 10105309. The next prime is 10105367. The reversal of 10105316 is 61350101.

It can be written as a sum of positive squares in 4 ways, for example, as 119716 + 9985600 = 346^2 + 3160^2 .

It is a super-2 number, since 2×10105316² = 204234822919712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105294 and 10105303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19136 + ... + 19656.

It is an arithmetic number, because the mean of its divisors is an integer number (797181).

Almost surely, 2^10105316 is an apocalyptic number.

It is an amenable number.

10105316 is a deficient number, since it is larger than the sum of its proper divisors (9027028).

10105316 is a wasteful number, since it uses less digits than its factorization.

10105316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 10105316 is about 3178.8859683858. The cubic root of 10105316 is about 216.1971508172.

Adding to 10105316 its reverse (61350101), we get a palindrome (71455417).

The spelling of 10105316 in words is "ten million, one hundred five thousand, three hundred sixteen".